5 resultados para Artin-Schelter Regular Rings

em Brock University, Canada


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Research and practice regarding LO students usually has focussed upon defining and supplementing deficiencies rather than seeking unique talents and capability patterns for learning and expression. This study examined nine dimensions that may constitute artistic or creative talent and compared LDs with "regular-class" students, pair-wise and as groups, for levels and distributions of the dimensions. For 14 LO and 9 "regular-class" elementary-school subjects, both genders, data were taken by direct observation, from a standardized test and assessments by two practicing artists. Assessments by artists were in concord. LOs improved more in "Composition". No other significant class, age or gender-related differences were found.

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Each of the forty Toronto Board of Education behavioural teachers was matched as closely as possible .with a regular cIassroom teacher from the same schooI, 0f the same sex, and teaching approxiately the same age group of chiIdren. A II of these teachers were sent a questionnaire (based on Herzberg's model) whose content reflected various aspects of job satisfaction or dissatisfaction. Demographic data was also gathered to be used in the study for examining correlations between satisfaction and various factors . T 10 additional questions were asked regarding factors that IOU Id influence the i r staying or Ieaving and one question was asked about lIerit pay . Chi Square tests and t-tests were conducted on the results. The majority of each group of teachers was very satisfied with their job while the behavioural teachers were significantly more satisfied than the regular teachers. Intrinsic factors played a more signi ficant role than did extrinsic ones. The demographic factors couId be found to be predictors of job satisfaction or dissatisfaction.

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The Two-Connected Network with Bounded Ring (2CNBR) problem is a network design problem addressing the connection of servers to create a survivable network with limited redirections in the event of failures. Particle Swarm Optimization (PSO) is a stochastic population-based optimization technique modeled on the social behaviour of flocking birds or schooling fish. This thesis applies PSO to the 2CNBR problem. As PSO is originally designed to handle a continuous solution space, modification of the algorithm was necessary in order to adapt it for such a highly constrained discrete combinatorial optimization problem. Presented are an indirect transcription scheme for applying PSO to such discrete optimization problems and an oscillating mechanism for averting stagnation.

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We associate some graphs to a ring R and we investigate the interplay between the ring-theoretic properties of R and the graph-theoretic properties of the graphs associated to R. Let Z(R) be the set of zero-divisors of R. We define an undirected graph ᴦ(R) with nonzero zero-divisors as vertices and distinct vertices x and y are adjacent if xy=0 or yx=0. We investigate the Isomorphism Problem for zero-divisor graphs of group rings RG. Let Sk denote the sphere with k handles, where k is a non-negative integer, that is, Sk is an oriented surface of genus k. The genus of a graph is the minimal integer n such that the graph can be embedded in Sn. The annihilating-ideal graph of R is defined as the graph AG(R) with the set of ideals with nonzero annihilators as vertex such that two distinct vertices I and J are adjacent if IJ=(0). We characterize Artinian rings whose annihilating-ideal graphs have finite genus. Finally, we extend the definition of the annihilating-ideal graph to non-commutative rings.